A sufficient condition to check if one of a subset of these objects is irreducible is Eisenstein's criterion, and Hilbert's basis theorem demonstrates that the ideals of rings of certain types of these objects are finitely generated. The Horner scheme is a process to rapidly approximate their (*) roots, and Abel demonstrated that closed-form roots only generally exist when these entities have degree less than five. For 10 points, name these expressions, the sum of one or more variables and their products and powers, such as x2 + x + 1.
A sufficient condition to check if one of a subset of these objects is irreducible is Eisenstein's criterion, and Hilbert's basis theorem demonstrates that the ideals of rings of certain types of these objects are finitely generated. The Horner scheme is a process to rapidly approximate their (*) roots, and Abel demonstrated that closed-form roots only generally exist when these entities have degree less than five. For 10 points, name these expressions, the sum of one or more variables and their products and powers, such as x2 + x + 1.
A sufficient condition to check if one of a subset of these objects is irreducible is Eisenstein's criterion, and Hilbert's basis theorem demonstrates that the ideals of rings of certain types of these objects are finitely generated.
polynomials